On bifurcation and uniqueness results for some semilinear elliptic equations involving a singular potential

DOI10.4171/JEMS/49zbMath1284.35184OpenAlexW2061062609MaRDI QIDQ2502551

Manuela Chaves, J. P. García Azorero

Publication date: 13 September 2006

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jems/49

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Abstract bifurcation theory involving nonlinear operators (47J15) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (3)

The semiflow of a reaction diffusion equation with a singular potential ⋮ An approach without using Hardy inequality for the linear heat equation with singular potential ⋮ On the heat equation with nonlinearity and singular anisotropic potential on the boundary

Cites Work

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• Positive solutions of asymptotically linear elliptic eigenvalue problems
• Combined effects of concave and convex nonlinearities in some elliptic problems
• An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem
• On a semilinear elliptic equation with inverse-square potential
• The Heat Equation with a Singular Potential
• On Uniqueness of Positive Solutions of Semilinear Elliptic Equations with Singular Potential
• On the method of moving planes and the sliding method

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